52,586 research outputs found
Restoration of U(1) symmetry and meson spectrum in hot or dense matter
We explore the effects of breaking and restoration of chiral and axial
symmetries using an extended three-flavor Nambu-Jona-Lasinio model that
incorporates explicitly the axial anomaly through the 't Hooft interaction. We
implement a temperature (density) dependence of the anomaly coefficient
motivated by lattice results for the topological susceptibility. The spectrum
of scalar and pseudoscalar mesons is analyzed bearing in mind the
identification of chiral partners and the study of its convergence. We also
concentrate on the behavior of the mixing angles that give us relevant
information on the issue under discussion. The results suggest that the axial
part of the symmetry is restored before the possible restoration of the full
U(3)U(3) chiral symmetry might occur.Comment: 9 pages, 5 figures. Talk given at Joint Meeting
Heidelberg-Liege-Paris-Rostock (HLPR 2004), Spa, Belgium, 16-18 Dec 200
Ward Identities and chiral anomalies for coupled fermionic chains
Coupled fermionic chains are usually described by an effective model written
in terms of bonding and anti-bonding spinless fields with linear dispersion in
the vicinities of the respective Fermi points. We derive for the first time
exact Ward Identities (WI) for this model, proving the existence of chiral
anomalies which verify the Adler-Bardeen non-renormalization property. Such WI
are expected to play a crucial role in the understanding of the thermodynamic
properties of the system. Our results are non-perturbative and are obtained
analyzing Grassmann functional integrals by means of Constructive Quantum Field
Theory methods.Comment: TeX file, 26 pages, 7 figures. Published version, new section added
to answer referee remarks and derive the Ward Identites, no modifications in
the main resul
Effects of the restoration of U(1) symmetry on pseudoscalar meson observables
We investigate the restoration of chiral SUSU and axial
U(1) symmetries, at finite temperature and density, in the framework of the
three flavor Nambu-Jona-Lasinio model with anomaly. We implement a temperature
(density) dependence of the anomaly coefficient motivated by lattice results
for the topological susceptibility and we discuss the restoration of symmetries
by analyzing the behavior of the mesonic chiral partners and of the mixing
angles. The results indicate that the axial part of the symmetry is restored
before the possible restoration of the full U(3)U(3) chiral symmetry
can occur.Comment: 4 pages, 1 figure. Contribution to Proc. Int. Europhysics Conf. on
High Energy Physics (HEP2005), 21-27.7.2005, Lisboa, Portuga
Phase transitions in quark matter and behaviour of physical observables in the vicinity of the critical end point
We study the chiral phase transition at finite and within the
framework of the SU(3) Nambu-Jona-Lasinio (NJL) model. The QCD critical end
point (CEP) and the critical line at finite temperature and baryonic chemical
potential are investigated: the study of physical quantities, such as the
baryon number susceptibility near the CEP, will provide complementary
information concerning the order of the phase transition. We also analyze the
information provided by the study of the critical exponents around the CEP.Comment: Talk given at the IVth International Conference on Quarks and Nuclear
Physics (QNP06), Madrid, 5-10 June 200
Using zeros of the canonical partition function map to detect signatures of a Berezinskii-Kosterlitz-Thouless transition
Using the two dimensional model as a test case, we show that
analysis of the Fisher zeros of the canonical partition function can provide
signatures of a transition in the Berezinskii-Kosterlitz-Thouless ()
universality class. Studying the internal border of zeros in the complex
temperature plane, we found a scenario in complete agreement with theoretical
expectations which allow one to uniquely classify a phase transition as in the
class of universality. We obtain in excellent accordance with
previous results. A careful analysis of the behavior of the zeros for both
regions and in the
thermodynamic limit show that goes to zero in the former
case and is finite in the last one
Effective restoration of the U_A(1) symmetry with temperature and density
We investigate the full U(3)U(3) chiral symmetry restoration, at
finite temperature and density, on the basis of a quark model which
incorporates the most relevant properties of QCD in this context: explicit and
spontaneous breaking of chiral symmetry and axial U(1) symmetry breaking. A
specific lattice-inspired behavior of the topological susceptibility, combined
with the convergence of chiral partners, signals the onset of an effective
chiral symmetry restoration. The results suggest that the axial part of the
symmetry is restored before the possible restoration of the full
U(3)U(3) chiral symmetry can occur. This conclusion is valid in the
context of both finite temperature and density.Comment: 5 pages, 2 figures; PRD versio
Properties of Very Luminous Galaxies
Recent analysis of the SSRS2 data based on cell-counts and two-point
correlation function has shown that very luminous galaxies are much more
strongly clustered than fainter galaxies. In fact, the amplitude of the
correlation function of very luminous galaxies () asymptotically
approaches that of clusters. In this paper we investigate the
properties of the most luminous galaxies, with blue absolute magnitude . We find that: 1) the population mix is comparable to that in other ranges
of absolute magnitudes; 2) only a small fraction are located in bona fide
clusters; 3) the bright galaxy-cluster cross-correlation function is
significantly higher on large scales than that measured for fainter galaxies;
4) the correlation length of galaxies brighter than \MB ,
expressed as a function of the mean interparticle distance, appears to follow
the universal dimensionless correlation function found for clusters and radio
galaxies; 5) a large fraction of the bright galaxies are in interacting pairs,
others show evidence for tidal distortions, while some appear to be surrounded
by faint satellite galaxies. We conclude that very luminous optical galaxies
differ from the normal population of galaxies both in the clustering and other
respects. We speculate that this population is highly biased tracers of mass,
being associated to dark halos with masses more comparable to clusters than
typical loose groups.Comment: 29 pages (6 figures) + 2 tables; paper with all figures and images
available at http://boas5.bo.astro.it/~cappi/papers.html; The Astronomical
Journal, in pres
Magnetic monopole and string excitations in a two-dimensional spin ice
We study the magnetic excitations of a square lattice spin-ice recently
produced in an artificial form, as an array of nanoscale magnets. Our analysis,
based upon the dipolar interaction between the nanomagnetic islands, correctly
reproduces the ground-state observed experimentally. In addition, we find
magnetic monopole-like excitations effectively interacting by means of the
usual Coulombic plus a linear confining potential, the latter being related to
a string-like excitation binding the monopoles pairs, what indicates that the
fractionalization of magnetic dipoles may not be so easy in two dimensions.
These findings contrast this material with the three-dimensional analogue,
where such monopoles experience only the Coulombic interaction. We discuss,
however, two entropic effects that affect the monopole interactions: firstly,
the string configurational entropy may loose the string tension and then, free
magnetic monopoles should also be found in lower dimensional spin ices;
secondly, in contrast to the string configurational entropy, an entropically
driven Coulomb force, which increases with temperature, has the opposite effect
of confining the magnetic defects.Comment: 8 pages. Accepted by Journal of Applied Physics (2009
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